Parabose algebra as generalized conformal supersymmetry - High Energy Physics - TheoryReportar como inadecuado




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Abstract: The form of realistic space-time supersymmetry is fixed, byHaag-Lopuszanski-Sohnius theorem, either to the familiar form of Poincaresupersymmetry or, in massless case, to that of conformal supersymmetry. Wequestion necessity for such strict restriction in the context of theories withbroken symmetries. In particular, we consider parabose N=4 algebra as anextension of conformal supersymmetry in four dimensions coinciding with the,so called, generalized conformal supersymmetry. We show that sacrificing ofmanifest Lorentz covariance leads to interpretation of the generalizedconformal supersymmetry as symmetry that contains, on equal footing, two-rotation- groups. It is possible to reduce this large symmetry down toobservable one by simply breaking one of these two SU2 isomorphic groups downto its U1 subgroup.



Autor: Igor Salom

Fuente: https://arxiv.org/







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